Questions on Algebra: Linear Equations, Graphs, Slope answered by real tutors!

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Question 1159613: Given h(x) = −x^2 + 4x − 3
a. h(-3)
b. h(x-2)
c. h(3a)

Click here to see answer by josgarithmetic(39617)

Question 1159610: Starbucks originated in Seattle Washington as a coffee shop. In 2010, there were 10,084 stores
worldwide. By 2014, this had grown to 10,884.
a. Find a linear equation that fits the data x years after 2010.
b. Use the linear equation to predict the number of Starbucks in 2020.
c. In what year is Starbucks predicted to have 18,627 shops worldwide?
Click here to see answer by Boreal(15235)

Question 1159701: Find the value of k so that the line through (4,k) and (2,-3) is perpendicular to the line through (98,6) and (-8,-5)
Click here to see answer by josgarithmetic(39617)

Question 1159732: Tim explained a function in words and Paul wrote an equation.
Tim
The amount of money in a savings account increases at a rate of $225 per month. After eight months, the bank account has $4,580 in it.
Paul
y−1,400=56(x+26)
Whose function has the smaller y-intercept?

Click here to see answer by Boreal(15235)

Question 1159802: Please help me with this linear equation:Write the equation of a line that is perpendicular to y=-0.3x+6.
Click here to see answer by Alan3354(69443)

Question 1159817: what is slope-intercept form an equation of the line that passes through the given points of (-3, -1) (4, -1)

Click here to see answer by Boreal(15235)

Question 1159868: Line A is perpendicular to Line B. Determine
the equation of Line A if it passes through Line B
at (5, -1), where Line B is represented by the
equation x + 2y = 3.
Click here to see answer by greenestamps(13200)

Question 1160032: what is the value of x for this equation?
1/5(x+0.5)+5.24=3/2x+7/10(x+2.2)
Click here to see answer by MathLover1(20849)

Question 1160032: what is the value of x for this equation?
1/5(x+0.5)+5.24=3/2x+7/10(x+2.2)
Click here to see answer by MathTherapy(10552)

Question 1160090: Word problem: David gets to work in 20 minutes when he drives his car. Riding his bike (by the same route) takes him 45 minutes. His average driving speed is 4.5mph greater than his average speed on his bike. How far does he travel to work?
I have an answer key, but can't figure out how to get the right answer. I've tried several equations to no avail.
Thanks,
Daniel
Click here to see answer by josgarithmetic(39617)

Question 1160147: f(x)=√x+3 and the is interval 1 ≤ x ≤ 5 what is the average rate of change?

Click here to see answer by ikleyn(52781)

Question 1160148: Write the slope-intercept form of the equation of the line that passes through the points (4, -3) and (1, -4).

Click here to see answer by Boreal(15235)

Question 1160148: Write the slope-intercept form of the equation of the line that passes through the points (4, -3) and (1, -4).

Click here to see answer by Alan3354(69443)

Question 1160169: The following table of values represents points (x, y) on the graph of a linear function. Determine the y-intercept of this graph.
x y
-2 8
1 2
2 0
4 -4
Click here to see answer by MathLover1(20849)

Question 1160028: To lower its corporate income tax, accountants of a large company depreciated a word processing system over several years using a linear model, as shown in the worksheet below.
Tax Worksheet
Method of depreciation: Linear
Property
Years after
purchase
Value
Word processing
system
2
$51,500
"
4
$34,000
Click here to see answer by ikleyn(52781)

Question 1160336: Find the equation of the line that passes through the point (3,-1) and is parallel to the line y=-x+4
Click here to see answer by ikleyn(52781)

Question 1160409: Suppose you have $36.00 to buy napkins and plates for a classic picnic. Napkins cost 3.00 per package and plates cost 4.00 per package.
If x is the number of packages of napkins purchased and y is the number of packages of plates purchased, write an equation to model this situation.
Find your x and y intercepts.
Click here to see answer by solver91311(24713)

Question 1160549: Consider the demand equation where x represents the quantity demanded in units of a thousand and p is the unit price in dollars.
p =

Determine the quantity demanded when the unit price is set at p = $3. (Round your answer to the nearest full unit.)
Click here to see answer by ankor@dixie-net.com(22740)

Question 1160559: Consider the supply equation where x is the quantity supplied in units of a thousand and p is the unit price in dollars.
p = x^3 + x + 3
Determine the price (in dollars) at which the supplier will make 1,500 units of the commodity available in the market. (Round your answer to the nearest cent.)

Click here to see answer by josgarithmetic(39617)

Question 1160764: Find the slope of the tangent line to the graph of the function at the given point.
f(x) = −4x + 3 at (−1, 7)
m=
Determine an equation of the tangent line.
y =
Click here to see answer by jim_thompson5910(35256)

Question 1160919: what is the slope of a line that passes through the points (5,3) and (7, -4)
Click here to see answer by ikleyn(52781)

Question 1160919: what is the slope of a line that passes through the points (5,3) and (7, -4)
Click here to see answer by josgarithmetic(39617)

Question 1160919: what is the slope of a line that passes through the points (5,3) and (7, -4)
Click here to see answer by rfer(16322)

Question 1160919: what is the slope of a line that passes through the points (5,3) and (7, -4)
Click here to see answer by greenestamps(13200)

Question 1160958: The mass of a 475 cm long string is 1.2 kg. If the mass distribution is uniform, find its linear mass density in microgram per millimeterscale.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1160998: Select the slope-intercept form of an equation for a line with y-intercept - 5 and slope 2.
A. x = 2x + 5
B. y = 2x - 5
C. y = 5x - 2
D. y = - 5x + 2
Click here to see answer by ikleyn(52781)

Question 1160996: Rachel hikes at a steady rate from a ranger station to a campground that is 20 mi away. After 2 h, she is 13 mi from the campground. After 4 h, she is 6 mi from the campground. A graph shows her distance from the campground y, in miles, after x hours. What is the slope of the graph, and what does it represent?
A. 20; Rachel's initial distance from the campground
B. −3.5; the rate at which Rachel's distance from the campground changes per hour
C. 3.5; Rachel's initial distance from the campground
D. 20; Rachel's final distance from the campground
Click here to see answer by josgarithmetic(39617)

Question 1160999: what is the equation of a like that has a slope of m=3 and goes through point (3, -4)
Click here to see answer by josgarithmetic(39617)

Question 1160999: what is the equation of a like that has a slope of m=3 and goes through point (3, -4)
Click here to see answer by greenestamps(13200)

Question 1160995: Which statements about the line that passes through (−2, 0) and (2, −4) are true? Select all that apply.
A. The slope of the line is 1.
B. The line intersects the y-axis at (0, −2).
C. The equation of the line is y = −x − 2.
D. The line intersects the x-axis at (−2, 0).
Click here to see answer by josgarithmetic(39617)

Question 1161021: Line m is represented by the equation 2x + 5y =13 and line n is represented by the equation 5x - 2y =-11. Verify that the point of intersection is a solution to both equations.
Click here to see answer by Theo(13342)

Question 1161035: For my homework it says 'Find the value of x or y so that the line passing through the two points has a given slope.'
For this problem, find the value of x.
(x,-7), (1,2); m=3
I am unsure of how to solve this, or about my answer, but I got
x=2.
Please tell me if it's correct and explain how to solve these types of problems...
Thank You!
Click here to see answer by ikleyn(52781)

Question 1161075: Find the quadratic polynomial whose graph passes through the points (1,14) (2,28) (3,48)
Click here to see answer by MathLover1(20849)

Question 1161075: Find the quadratic polynomial whose graph passes through the points (1,14) (2,28) (3,48)
Click here to see answer by solver91311(24713)

Question 1161075: Find the quadratic polynomial whose graph passes through the points (1,14) (2,28) (3,48)
Click here to see answer by greenestamps(13200)

Question 1161192: Blue rulers cost $1.50 and green rulers cost $4.50. The school purchases total of 60 rulers for the students and spends $129. How many of each type of ruler did she buy?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1161190: Judy has total of 29 coins in her purse in nickels and dimes. If the coins total $2.25, how many of each type of coin does she have? solve by using linear system.
Click here to see answer by josgarithmetic(39617)

Question 1161266: Find the points of intersection the line with the equation y=x-4 and the curve with equation y=-2x²+8x-1
Click here to see answer by math_helper(2461)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045